Geometry

Problem 901

2. The following triangles are congruent. Use this to answer the questions below: a. What is the measure of angle JLK? b. What is the measure of angle GIH? $\qquad$ c. What is the length of line segment HI? $\qquad$ d. Write the congruence statement for these triangles $\qquad$

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Problem 902

Question
Determine the domain of the following graph: Answer Attempt 1 out of 2

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Problem 903

Question
Determine the domain of the following graph: Answer Attempt 1 out of 2

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Problem 904

\#13-16: Use the rules and list the image coordinates after the reflection in the given line.
13. $y=x$ rule: $(x, y) \rightarrow$ $\qquad$ $A(6,-3) \quad A^{\prime}$ $\qquad$ $B(1,-2) \quad B^{\prime}$ $\qquad$ $C(4,1) \quad C^{\prime}$ $\qquad$
16. $y=-x$ rule: $(x, y) \rightarrow$ $\qquad$ $A(1,2) \quad A^{\prime}$ $\qquad$ $B(4,2)$ $B^{\prime}$ $\qquad$ $C(3,-2) \quad C^{\prime}$ $\qquad$

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Problem 905

6 A particle is projected from rest from a point along a smooth horizontal table at $0.7 \mathrm{~m} \mathrm{~s}^{-1}$ . The table is 1 m high and stands on horizontal ground. Given that it takes 2 seconds from the moment of projection until the ball hits the ground, work out the distance from the point $A$ to the edge of the table. (4 marks)

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Problem 906

Calculate the Surface Area of the Cone Lcylle le \begin{tabular}{|l|l|l|l|l|l|} \hline Figure & $\pi$ & $r$ radius & $r^{2}$ & lislant height $S A=\pi r^{2}+\pi r l$ \\ \hline \end{tabular}

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Problem 907

The volume of a rectangular prism is 4,860 cubic centimeters. Its length is 20 centimeters, and its height is 3 times its width.
Which equation can you use to find the width of the rectangular prism, w? $\begin{array}{c} 4,860 \cdot 20= \\ w \cdot 3 w \end{array}$ $\begin{array}{c} 4,860=20 \\ w \cdot 3 w \end{array}$
How wide and tall is the prism? centimeters wide and centimeters tall

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Problem 908

Look at this diagram:
If $\overleftrightarrow{H J}$ and $\overleftrightarrow{K M}$ are parallel lines and $m \angle J I G=123^{\circ}$ , what is $m \angle M L I$ ? $\square$

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Problem 909

Assessments / studyculx
Question 1 (a) The coordinates of three points are $A(2,-6), B(6,-12)$ , and $C(-4,3)$ . Find the perpendicular distance from $A$ to $\bar{B} C$ . Based on your answer, what can you conclude about the relationship between the points $A, B$ , and $C$ ?

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Problem 910

Practice Quiz: Perimeter and Circumference 0:07:42 elapsed
Question 9 (5 points) Listen Jessa drew a circle with a circumference of 18.84 inches. Which of these dimensions could be the diameter, in inches Jessa used to draw her circle? Use 3.14 for pi. 6 15.7 9.42 3

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Problem 911

*\#5.) a.) If $A B C D$ undergoes $R_{-180^{\circ}}$ about the origin, what would be the coordiante point of $A^{\prime}$ ? a.) $(-5,5)$ b.) $(-3,-5)$ c.) $(-5,3)$ d.) $(-3,3)$ b.) Graph the image $E F G H$ after $R_{270}$ .

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Problem 912

The figure below contains two right triangles with one common side. The length of the segment $B C$ is $|B C|=2 \mathrm{~cm}$ , the length of the segment $A D$ is $|A D|=8 \mathrm{~cm}$ , and the angle $\angle D A B$ is $\angle D A B=53^{\circ}$ .
Find each of the following (note that the angles you plug into trigonometric functions must be in radians): The length of the line segment $B D:|B D|=6.389$ $\square$ cm . The tangent of angle $\theta=\angle B D C: \tan (\theta)=0.313$ The length of the line segement $C D:|C D|=1$ (1) cm .

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Problem 913

The hypotenuse of a right triangle is 3 times as long as its shorter leg. The longer leg is 12 centimeters long
To the nearest tenth of a cenfimeter, what is the length of the triangle's shorter leg? ) $\square$ Gentimeters

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Problem 914

Find the values of $x$ and $y$ in parallelogram $P Q R S$ $P T=y, T R=2 x+1, Q T=5 y, T S=6 x+13$ $x=$ $\square$ and $y=$ $\square$

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Problem 915

Fiona enlarges a parallelogram that has a perimeter of 17 meters.
Not drawn to scale What is the perimeter of the enlarged parallelogram? 30 meters 73.5 meters 102 meters 105 meters

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Problem 916

Malik considers the enlargement of the trapezoid.
Not drawn to scale
What is the correct cross product that he should use to solve for the missing dimension? $(10)(25)=18 x$ $(10)(18)=25 x$ $(18)(25)=10 x$ $(18)(10)=18 x$

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Problem 917

What is the perimeter of the reduced triangle, in inches? 15 21 36 48

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Problem 918

Pre-Test Active 1 2 3 4 5 6 7 a 9 10
Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. The original photo was 800 pixels wide by 600 pixels high. The new photo will be 1,260 pixels wide. What will the new height be? 460 pixels 945 pixels 1,680 pixels 1,860 pixels

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Problem 919

Iving Scale Problems Using Proportions -Test Active 2 3 4 5 6 7 8 9 10
Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons.
Not draum to scale
Write a proportion. $\frac{3}{12}=\frac{x}{8}$ Cross multiply. $8 x=3 ६$ Solve for $x . x=4.5$
What error did Paolo make in his solution? Paolo set up an incorrect proportion. Paolo made an error when he cross multiplied the proportion. Paolo divided incorrectly when he solved for $x$ . Save and Exit Submit Mank this end reeum

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Problem 920

How many pairs of parallel faces does the shape below have? A. 1 B. 4 C. 3 D. 2 Reset Next

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Problem 921

4
How many congruent faces does the square pyramid below have? A. 4 B. 6 C. 5 D. 2 Reset Next

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Problem 922

Answer $(-1,1)$ $(-1,9)$ $(6,10)$ $(2,1)$

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Problem 923

Given: $\overline{A B} \cong \overline{B C}$ and $\overline{B C}$ bisects $\angle A C D$ . Prove: $\angle A \cong \angle B C D$ .
Note: quadrilateral properties are not permitted in this proof.
Step
1 try Type of Statement

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Problem 924

(3) A 25-foot ladder is leaned against a wall. If the base of the ladder is 7 ft from the wall, how high up the wall will the ladder reach?
The mast of a sailing ship is 20 ft tall. A rope is stretched 26 ft from the top of the mast to a cleat on the deck of the ship. How far is the cleat from the base of the mast?
Each side of an equilateral triangle measures 12 cm . Find the height, $\boldsymbol{h}$ , of the triangle. $\square$ $\square$ $\square$ $\square$ - $\square$ $\square$ Two jets left an airport at the same time. One traveled east at 300 miles per hour. The other traveled south at 400 miles per hour. How far apart were the jets at the end of an hour? $\square$ 85.4
12 9.8
24 500 26 10.4
520 25.5 9.4 17.8 16.6 87.1 9.7 18.5 : 8.3

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Problem 925

Edit I New W Tableau Classroom 6 Edit IClasst Classwork fo Grades I Inti Clever I Por:- Whathele: login.i-ready.com/student/dashboard/home NIYARAH
Figures $X, Y$ , and $Z$ are similar.
Which statement is true?
$B^{\circ}$ ○ 8 of 14 Finish Later (II) Subrnit Completed Nov 14 $7: 59$

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Problem 926

Here is Ethan's solution to the previous screen. Are these lines perpendicular? How do you know?
Use the sketch tool on the graph if that helps to illustrate your thinking.
I know that these lines are perpendicular because they are opposite recipricol of each other. Edit my response
Your classmates said: CAMRYN URIBE they have the opposite recipricol ALONDRA JUAREZ GUTIERREZ No they are not because they are opposite recipricol. ANTHONYMARTINEZ-VASQUEZ

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Problem 927

Find the axis of symmetry of the parabola defined by the equation $(y+6)^{2}=40(x+6)$ .

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Problem 928

What is the approximate volume of the cylinder? Use 3.14 for $\pi$ . $904.32^{2} \mathrm{~cm}^{3}$ $226.08 \mathrm{~cm}^{3}$ $150.72 \mathrm{~cm}^{3}$ $301.44 \mathrm{~cm}^{3}$

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Problem 929

The slopes of perpendicular lines are

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Problem 930

Find the area of this parallelogram. Be sure to include the correct unit in your answer. Espaniol m $\mathrm{m}^{2}$ $\mathrm{m}^{3}$ ? $\square$

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Problem 931

Area of a parallelogram
Find the area of this parallelogram. Be sure to include the correct unit in your answer. $\square$ Español -

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Problem 932

The figure shows two parallel lines cut by a transversal.
Which angles are congruent to $\angle 7$ ?
Choose one option from each drop-down menu to answer the question. $\angle$ $\square$ Choose. and $\angle 7$ are congruent because they are
Choose... $\square$ angles. $\square$ Choose.. and $\angle 7$ are congruent because they are
Choose... $\square$ angles. $\square$ Choose.. and $\angle 7$ are congruent because they are Choose... $\square$ angles. 8 9 10 11 12 10 of 14

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Problem 933

What is the slope of the line that passes through the points $(5,-6)$ and $(9,-6)$ ? Write your answer in simplest form.

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Problem 934

Look at this shape:
Which image shows a translation?
A B C
A B C

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Problem 935

NIYARAH
Triangle $A$ has angles that measure $36^{\circ}$ and Which statement is true about Triangle $A$ and Triangle $B$ ? $82^{\circ}$ .
Triangle $B$ has the angle measures shown below.
The triangles are similar because they each have only acute angles.
The triangles are not similar because one of them has an obtuse angle. The triangles are not similar because an $82^{\circ}$ angle is not congruent to a $62^{\circ}$ angle. (1)) The triangles are similar because they each have angles that measure $36^{\circ}, 62^{\circ}, 82^{\circ}$ .

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Problem 936

What is the slope of the line that passes through the points $(2,-4)$ and $(5,2)$ ? Write your answer in simplest form.

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Problem 937

Find the slope of the line graphed below.

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Problem 938

In the graph below, circle $T^{\prime}$ is the image of circle $T$ after a dilation. Radii $\overline{T U}$ and $\overline{T^{\prime} U^{\prime}}$ are also shown.
What are the scale factor and center of the dilation? Simplify your answers and write them as fractions or whole numbers. scale factor: $\square$ center of the dilation: ( $\square$ $\square$ Submit Work it out Desk 1

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Problem 939

Given a = 4 m, and Mo = 40 Nm, A Mo E Mo C G F TT B - a - — a - — a - Plot out the shear and moment diagrams for the beam.

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Problem 940

ming measures.
Consider the enlargement of the triangle.
Which statement is true about setting up a proportion to solve for the missing measure? Corresponding parts must be in different positions. Corresponding parts must be in the same position. The two ratios are not equal. The enlargement is not proportional to the original figure.

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Problem 941

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle
1. Set up the proportion:
2. Use cross product: $\frac{9}{6}=\frac{x}{16}$
3. Simplify: $9(16)=6 x$
4. Divide: $144=$ $\square$ $\square$ $=x$

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Problem 942

Graph $\overline{X Y}$ with endpoints $X(5,-2)$ and $Y(3,-3)$ and its image after a reflection in the $x$ -axis and then a rotation of $270^{\circ}$ counterclockwise about the origin.

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Problem 943

Question 24, *7.1.23 HW Score: $85.71 \%, 24$ of 28 points Points: 0 of 1 Save
Points $A$ and $B$ are on opposite sides of a lunar crater. Point $C$ is 56 meters from point $A$ . The measure of $\angle B A C$ is $113^{\circ}$ and the measure of $\angle A C B$ is $42^{\circ}$ . What is the width of the crater?
The width of the crater is $\square$ meters. (Simplify your answer. Type an integer or a decimal. Round to the nearest hundredth if needed.)

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Problem 944

Consider the reduction of the rectangle. $18 \mathrm{in.}$
8 in. $x$ in. 3 in.
Write a proportion and then solve to find the missing measure of the reduced rectangle.
What two ratios can be used in the proportion?
What is the value of the missing measure?

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Problem 945

Analyzing a Solution
Medea found the missing measure using a proportion of the reduced trapezoid.
1. Proportion: $\frac{4}{x}=\frac{8}{\frac{1}{2}}$
2. Cross products: $4\left(\frac{1}{2}\right)=8(x)$
3. Simplify: $2=8 x$
4. Divide: $\frac{1}{4}=x$
Analyze Medea's work. In which step did Medea make an error? In step 1, the corresponding parts are in different positions. In step 2, the cross products should be multiplied instead of being equal. In step 3, she should have added instead of multiplying to simplify. In step 4, she needed to divide 2 to both sides to get $x=4$ .

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Problem 946

The radius of a cylindrical construction pipe is 3 ft . If the pipe is 34 ft long, what is its volume? Use the value 3.14 for $\pi$ , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. $\square$

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Problem 947

5. Sara was helping her father assemble a slide for the local park. He decides to reinforce the slide with an extra support beam. How long should the extra support beam be?

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Problem 948

ix|-Google Search 8.S.2: Dilations: graph the ima IE IXL| Dilations: graph the imag -- ixl.com/math/grade-8/dilations-graph-the-image?signInRedirect=https://www.ixl.com/signin/evsc\#gc Learn with an example or Watch a video
Graph the image of $\triangle S T U$ after a dilation with a scale factor of $\frac{1}{4}$ , centered at the origin.

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Problem 949

Find the slope of the line graphed below.

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Problem 950

A grain silo has a cylindrical shape. Its radius is 8.5 ft , and its height is 39 ft . What is the volume of the silo? Use the value 3.14 for $\pi$ , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. $\square$ ft $\mathrm{ft}^{2}$ $\mathrm{ft}^{3}$

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Problem 951

Find the surface area of this cube. Be sure to include the correct unit in your answer. cm cm ${ }^{2}$ $\mathrm{cm}^{3}$

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Problem 952

Graph the triangle with vertices $X(-3,2), Y(2,3)$ , and $Z(1,-1)$ and its image after a dilation with scale factor $k=-3$ .

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Problem 953

Find the distance between the given 7.8 9.1 8.2 6.5 6.3

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Problem 954

Distance and Midpoint
Find the distance between $(2,-3)$ and $(5,0)$ . $\sqrt{ } 2$ $\sqrt{ } 18$ $\sqrt{ } 13$ $\sqrt{ } 26$

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Problem 955

Find the volume of the solid.

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Problem 956

Distance and Mldpoint
Find the distance between $(0,0)$ and $(-5,-4)$ . V21 $\sqrt{ } 38$ V17 V41

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Problem 957

Given $a=5.3 \mathrm{~m}, b=2.65 \mathrm{~m}$ , and $W=5 \mathrm{~N} / \mathrm{m}$ ,
Plot out the shear and moment diagrams for the beam. To avoid losing marks, please note:
1. Make sure all answer fields are answered.
2. Note that the line should go from $A$ to $D$ in the positive $x$ direction. The in the question plot. If there are two points at the same location, the letter moment, while the other one is to the right of it.
3. You can drag the points or input them in the blanks below, in the syntax points have the correct x -coordinate given and cannot be changed.
4. Points with lower case letters are used to control the shape of the curve Their coordinates do not need to be precise.

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Problem 958

The graph of $y=f(x)$ is shown below. Draw the graph of $y=\frac{1}{2} f(x)$ .

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Problem 959

A square based pyramid and a rectangular prism have the same height and their bases are congruent squares.
1. If the volume of the rectangular prism is $150 \mathrm{~cm}^{3}$ , what is the volume of the square pyramid?

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Problem 960

Distance and Midpoint
Find the midpoint for the segment with endpoints of $(3,2)$ and $(9,6)$ . $(9,6)$ $(6,4)$ $(12,8)$ $(2,9)$ $(8,4)$

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Problem 961

Distance and Midpoint
Find the midpoint for the segment with endpoints of $(-2,0)$ and $(4,-6)$ . $(2,-1)$ $(2,-4)$ $(1,-4)$ $(2,-3)$ $(1,-3)$

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Problem 962

15. Use the slope-intercept form to graph the equation $y=-6 x+2$

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Problem 963

Find the perimeter of the rectangle

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Problem 964

Solve for $x$ : $x=\square$

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Problem 965

Find the distance between the given points. 4 3 7 0 8

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Problem 966

Given that line $m$ bisects segment AC, find FC. Remember a bisector intersects at the midpoint. 12 9 2.25 15 4.5

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Problem 967

6. Le mécanisme d'un lance-balles a été réglé pour que les balles suivent toujours la même trajectoire. Une première balle est lancée avec le lance-balles posé sur le sol. Une deuxième balle est lancée, mais, cette fois, le lance-balles est à 2 m du sol. Dans le plan cartésien ci-dessous, gradué en mètres, la portion de la parabole freprésente la trajectoire de la première balle et la portion de parabole $g$ , la trajectoire de la deuxième balle.
La règle de la fonction $f$ est la suivante : $f(x)=-0,12(x-10)^{2}+12$
Quelle est la distance entre les deux endroits où tombent les balles? zéro porabole $f$ $=-0.12(x-10)^{2}+12$ $(0,2)$ $-12$ $-12$

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Problem 968

A ball of mass 0.6 kg , initially at rest, is kicked directly toward a fence from a point 20 m away, as shown below.
The velocity of the ball as it leaves the kicker's foot is $16 \mathrm{~m} / \mathrm{s}$ at angle of $51^{\circ}$ above the horizontal. The top of the fence is 4 m high. The ball hits nothing while in flight and air resistance is negligible.
The acceleration due to gravity is $9.8 \mathrm{~m} / \mathrm{s}^{2}$ .
Determine the time it takes for the ball to reach the plane of the fence.
Answer in units of s.

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Problem 969

Not dram to scale What is the value of $x$ , rounded to the nearest tenth? 2.1 centimeters 3.3 centimeters 7.0 centimeters Mark this and return Save and Exit Next

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Problem 970

Find $S R, S T, R T, m \angle T R S$ , and $m \angle R S T$ . Round to the nearest tenth, if necessary.

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Problem 971

The small rectangle was enlarged to create the big rectangle.
2 ft
Not drawn to scale
What is the missing measure on the big rectangle? 6 feet 10 feet 24 feet 30 feet

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Problem 972

Fiona enlarges a parallelogram that has a perimeter of 17 meters.
Not drawn to scale What is the perimeter of the enlarged parallelogram? 30 meters 73.5 meters 102 meters 105 meters

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Problem 973

Find the value of $x$ .

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Problem 974

TIME RENAINING 54:50
Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced length is 9 meters.
Not drawn to scale What is the width of the original rectangle? 20 meters 24 meters 36 meters 48 meters Mark this and return Save and Exit

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Problem 975

Use the given information and theorems and postulates you have learned to show that $c \| d$ .
18. $\mathrm{m} \angle 4=58^{\circ}, \mathrm{m} \angle 6=58^{\circ}$
19. $\mathrm{m} \angle 1=(23 x+38)^{\circ}, \mathrm{m} \angle 5=(17 x+56)^{\circ}, x=3$
20. $\mathrm{m} \angle 6=(12 x+6)^{\circ}, \mathrm{m} \angle 3=(21 x+9)^{\circ}, x=5$
21. $\mathrm{m} \angle 1=99^{\circ}, \mathrm{m} \angle 7=(13 x+8)^{\circ}, x=7$

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Problem 976

TIME REMAINING 53:01
Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. The original photo was 800 pixels wide by 600 pixels high. The new photo will be 1,260 pixels wide. What will the new height be? 460 pixels 945 pixels 1,680 pixels 1,860 pixels

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Problem 977

Let $Q(1,2,3)$ be a point in $\mathbb{R}^{3}, P_{1}: x-y+z=-1$ be a plane in $\mathbb{R}^{3}$ . (a) Find the parametric equations of the plane $P_{1}$ . (b) Find the general equation of the plane $P_{2}$ through $Q$ that is parallel to $P_{1}$ (c) Find the distance between the planes $P_{1}$ and $P_{2}$ .

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Problem 978

2. YES or NO
Side lengths: $3,4,5$ Classification: $\qquad$

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Problem 979

4. YES or NO
Classification: $\qquad$
Side lengths: $6,6,20$

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Problem 980

Solve the following system of equations graphically on the set of axes below $\begin{array}{c} y=-\frac{1}{3} x-1 \\ y=x+7 \end{array}$
Plot two lines by clicking the graph. Click a line to delete it.

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Problem 981

5 - 11: Classify each of the triangles by either SIDES or ANGLES: 5) 6) 7) 8) 9) 10) 11)

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Problem 982

4.

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Problem 983

Which is the scale factor proportion for the enlargement shown?
Not drawn to scale $\frac{1}{x}=\frac{2}{6}$ $\frac{1}{x}=\frac{6}{2}$ $\frac{1}{6}=\frac{2}{x}$ 1 . A Mark this and return Save and Exit

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Problem 984

3. Gunnar's car gets 22.4 miles per gallon, and his gas tank can hold 17.82 gallons of gas. How many miles can Gunnar travel if he uses all of the gas in the gas tank? 602 HIN
4. The principal of East High School wants to buy a new cover for the sand pit used in the long.jump competition . He measured the sand pit and found that the length is 29.2 feet and the width is 9.8 feet. What will the aread the new cover be?

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Problem 985

PRACTICE \& PROBLEM SOLVING APPLY
25. Model With Mathematics A glazier is setting supports in parallel segments to prevent glass breakage during storms. What are the values of $x$ and $y$ ? Justify your conclusions. () MP. 4
26. Reason In the parking lot shown, all of the lines for the parking spaces should be parallel. If $m \angle 3=61$ , what should $m \angle 1$ and $m \angle 2$ be? Explain. (c) MP. 2
27. Communicate Precisely Margaret is in a boat traveling due west. She turned the boat $50^{\circ}$ north of due west for a couple of minutes to get around a peninsula. Then she resumed due west again. (-) MP. 6 a. How many degrees would she turn the wheel to resume a due west course? b. What type of angle pair did she use? Are the angles congruent or supplementary?
8. Parallel lines $m$ and $n$ intersect parallel lines $x$ and $y$ , representing two sets of intersecting railroad tracks. If the minimum measure for $\angle 1$ is $101^{\circ}$ and the maximum measure for $\angle 1$ is $106^{\circ}$ , what are the minimum and maximum measures for $\angle 2$ ?
ASSESSMENT PRACTICE
29. Classify each angle as congruent to $\angle 1$ or congruent to $\angle 2$ .
30. SAT/ACT In the diagram, $a \| b$ . What is $m \angle 1$ ? (A) 28 (C) 90 (B) 62 (D) 118
31. Performance Task Students on a scavenger hunt are given the map shown and several clues.
Part A The first clue states the following. Skyline Trail forms a transversal with Wood Path and Mission Path. Go to the corners that form same side exterior angles north of Skyline Trail. Which two corners does the clue mean? Use intersections and directions to explain. Part B If the second clue states the following, what trail marker should they go to? Wood and Mission Paths are parallel, and the northeast corner of Wood Path and Skyline Trail forms a $131^{\circ}$ angle. The measure of the angle formed by the southwest corner of Skyline Trail and Mission Path is equal to the trail marker number on River Trail you must go to.

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Problem 986

Q9. The diagram shows a triangle.
In the diagram, all the measurements are in metres. The perimeter of the triangle is 56 m . The area of the triangle is $\mathrm{A} \mathrm{m}^{2}$ . Work out the value of $A$ .

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Problem 987

Use slopes to determine if the lines are parallel, perpendicular, or neither.
27. $\overleftrightarrow{E F}$ and $\overleftrightarrow{G H}$ for $E(8,2), F(-3,4), G(6,1)$ , and $H(-4,3)$

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Problem 988

Use slopes to determine if the lines are parallel, perpendicular, or neither.
28. $\overleftrightarrow{J K}$ and $\overleftrightarrow{L M}$ for $J(4,3), K(-4,-2), L(5,6)$ , and

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Problem 989

What is the slope of the line in the graph? $-\frac{4}{3}$ $-\frac{3}{4}$ Mark this and return Save and Exit Next

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Problem 990

The graph of a degenerate circle is a $\qquad$ A. point B. line C. circle D. ellipse

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Problem 991

Suppose that $\left(-\frac{5}{6}, y\right)$ is a point in Quadrant III lying on the unit circle. Find $y$ . Write the exact value, not a decimal approximation.

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Problem 992

$7 \widehat{m O n}$ et $\widehat{n O p}$ sont deux angles adjacents supplementaires tels que mon $=50^{n}$ .
1. Calcule nop $2^{2}(O$ , $) est la bissectice de mon. (OW) celle de$ nop Calute $\mathrm{xON}_{0}$

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Problem 993

A 25 -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a $65^{\circ}$ angle with a short vertical support.
What is the length $x$ of a diagonal support, to the nearest tenth of a foot? $x \approx$ $\qquad$ feet
The solution is

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Problem 994

3 The angles in each of these diagrams are all the same size. What is the size of each angle? a b

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Problem 995

The angles in each of these diagr the size of each angle? a

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Problem 996

Q6 (6 points) Find the general equation of the plane containing the origin and points $P(1,2,3)$ and $Q(1,-1,1)$ .

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Problem 997

Explain why the triangles are similar. Then find the missing length, x .
Choose the reason that the triangles are similar. A. All right triangles are similar. B. The Pythagorean theorem states that $\mathrm{a}^{2}+\mathrm{b}^{2}=\mathrm{c}^{2}$ . Thus, the corresponding sides are proportional. C. Both triangles are right and scalene. D. One angle pair is given to have the same measure (right triangles). Another angle pair consists of vertical angles with the same measure. Thus, two angles of the large triangl measure to two angles of the small triangle.

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Problem 998

Use the diagram and the given information to answer parts (a)-(d). - $\overleftrightarrow{A D}$ and $\overleftrightarrow{E I}$ are parallel. - $\overleftrightarrow{J P}$ and $\overleftrightarrow{K O}$ are transversals. - The measure of $\angle B C Q$ is $67^{\circ}$ . - The measure of $\angle Q H I$ is $119^{\circ}$ . a. Find the measure of $\angle Q F H$ . b. What is the angle relationship between $\angle B C Q$ and $\angle Q F H$ that verifies the measure of $\angle Q F H$ ? c. Find the measure of $\angle F Q H$ . d. What is the relationship between $\angle F Q H, \angle Q F H$ , and $\angle Q H I$ that verifies the measure of $\angle F Q H$ ? Copyri

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Problem 999

Use an algebraic equation to find the measure of each angle that is represented in terms of x 3x+20° 3x+40° ma 3x+20° ma 3x+40°

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Problem 1000

Solve for $x$ . Round to the nearest tenth, if necessary.

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Geometry

Problem 901

2. The following triangles are congruent. Use this to answer the questions below: a. What is the measure of angle JLK? b. What is the measure of angle GIH? \qquad c. What is the length of line segment HI? \qquad d. Write the congruence statement for these triangles \qquad

Problem 902

QuestionDetermine the domain of the following graph: Answer Attempt 1 out of 2

Problem 903

QuestionDetermine the domain of the following graph: Answer Attempt 1 out of 2

Problem 904

Problem 905

Problem 906

Calculate the Surface Area of the Cone Lcylle le \begin{tabular}{|l|l|l|l|l|l|} \hline Figure & π\piπ & rrr radius & r2r^{2}r2 & lislant height SA=πr2+πrlS A=\pi r^{2}+\pi r lSA=πr2+πrl \\ \hline \end{tabular}

Problem 907

Problem 908

Look at this diagram:If HJundefined\overleftrightarrow{H J}HJ and KMundefined\overleftrightarrow{K M}KM are parallel lines and m∠JIG=123∘m \angle J I G=123^{\circ}m∠JIG=123∘, what is m∠MLIm \angle M L Im∠MLI ? □\square□

Problem 909

Problem 910

Practice Quiz: Perimeter and Circumference 0:07:42 elapsedQuestion 9 (5 points) Listen Jessa drew a circle with a circumference of 18.84 inches. Which of these dimensions could be the diameter, in inches Jessa used to draw her circle? Use 3.14 for pi. 6 15.7 9.42 3

Problem 911

Problem 912

Problem 913

The hypotenuse of a right triangle is 3 times as long as its shorter leg. The longer leg is 12 centimeters longTo the nearest tenth of a cenfimeter, what is the length of the triangle's shorter leg? ) □\square□ Gentimeters

Problem 914

Find the values of xxx and yyy in parallelogram PQRSP Q R SPQRS PT=y,TR=2x+1,QT=5y,TS=6x+13P T=y, T R=2 x+1, Q T=5 y, T S=6 x+13PT=y,TR=2x+1,QT=5y,TS=6x+13 x=x=x= □\square□ and y=y=y= □\square□

Problem 915

Fiona enlarges a parallelogram that has a perimeter of 17 meters.Not drawn to scale What is the perimeter of the enlarged parallelogram? 30 meters 73.5 meters 102 meters 105 meters

Problem 916

Problem 917

What is the perimeter of the reduced triangle, in inches? 15 21 36 48

Problem 918

Problem 919

Problem 920

How many pairs of parallel faces does the shape below have? A. 1 B. 4 C. 3 D. 2 Reset Next

Problem 921

4How many congruent faces does the square pyramid below have? A. 4 B. 6 C. 5 D. 2 Reset Next

Problem 922

Answer (−1,1)(-1,1)(−1,1) (−1,9)(-1,9)(−1,9) (6,10)(6,10)(6,10) (2,1)(2,1)(2,1)

Problem 923

Given: AB‾≅BC‾\overline{A B} \cong \overline{B C}AB≅BC and BC‾\overline{B C}BC bisects ∠ACD\angle A C D∠ACD. Prove: ∠A≅∠BCD\angle A \cong \angle B C D∠A≅∠BCD.Note: quadrilateral properties are not permitted in this proof.Step1 try Type of Statement

Problem 924

Problem 925

Edit I New W Tableau Classroom 6 Edit IClasst Classwork fo Grades I Inti Clever I Por:- Whathele: login.i-ready.com/student/dashboard/home NIYARAHFigures X,YX, YX,Y, and ZZZ are similar.Which statement is true? B∘B^{\circ}B∘ ○ 8 of 14 Finish Later (II) Subrnit Completed Nov 14 7:597: 597:59

Problem 926

Problem 927

Find the axis of symmetry of the parabola defined by the equation (y+6)2=40(x+6)(y+6)^{2}=40(x+6)(y+6)2=40(x+6).

Problem 928

What is the approximate volume of the cylinder? Use 3.14 for π\piπ. 904.322 cm3904.32^{2} \mathrm{~cm}^{3}904.322 cm3 226.08 cm3226.08 \mathrm{~cm}^{3}226.08 cm3 150.72 cm3150.72 \mathrm{~cm}^{3}150.72 cm3 301.44 cm3301.44 \mathrm{~cm}^{3}301.44 cm3

Problem 929

The slopes of perpendicular lines are

Problem 930

Find the area of this parallelogram. Be sure to include the correct unit in your answer. Espaniol m m2\mathrm{m}^{2}m2 m3\mathrm{m}^{3}m3 ? □\square□

Problem 931

Area of a parallelogramFind the area of this parallelogram. Be sure to include the correct unit in your answer. □\square□ Español -

Problem 932

Problem 933

What is the slope of the line that passes through the points (5,−6)(5,-6)(5,−6) and (9,−6)(9,-6)(9,−6) ? Write your answer in simplest form.

Problem 934

Look at this shape:Which image shows a translation?A B CA B C

Problem 935

Problem 936

What is the slope of the line that passes through the points (2,−4)(2,-4)(2,−4) and (5,2)(5,2)(5,2) ? Write your answer in simplest form.

Problem 937

Find the slope of the line graphed below.

Problem 938

Problem 939

Given a = 4 m, and Mo = 40 Nm, A Mo E Mo C G F TT B - a - — a - — a - Plot out the shear and moment diagrams for the beam.

Problem 940

Problem 941

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle1. Set up the proportion:2. Use cross product: 96=x16\frac{9}{6}=\frac{x}{16}69​=16x​3. Simplify: 9(16)=6x9(16)=6 x9(16)=6x4. Divide: 144=144=144= □\square□ □\square□ =x=x=x

Problem 942

Graph XY‾\overline{X Y}XY with endpoints X(5,−2)X(5,-2)X(5,−2) and Y(3,−3)Y(3,-3)Y(3,−3) and its image after a reflection in the xxx-axis and then a rotation of 270∘270^{\circ}270∘ counterclockwise about the origin.

Problem 943

Problem 944

Consider the reduction of the rectangle. 18in.18 \mathrm{in.}18in.8 in. xxx in. 3 in.Write a proportion and then solve to find the missing measure of the reduced rectangle.What two ratios can be used in the proportion?What is the value of the missing measure?

Problem 945

Problem 946

The radius of a cylindrical construction pipe is 3 ft . If the pipe is 34 ft long, what is its volume? Use the value 3.14 for π\piπ, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. □\square□

Problem 947

5. Sara was helping her father assemble a slide for the local park. He decides to reinforce the slide with an extra support beam. How long should the extra support beam be?

Problem 948

Problem 949

2. The following triangles are congruent. Use this to answer the questions below: a. What is the measure of angle JLK? b. What is the measure of angle GIH? $\qquad$ c. What is the length of line segment HI? $\qquad$ d. Write the congruence statement for these triangles $\qquad$

Question
Determine the domain of the following graph: Answer Attempt 1 out of 2

Question
Determine the domain of the following graph: Answer Attempt 1 out of 2

Calculate the Surface Area of the Cone Lcylle le \begin{tabular}{|l|l|l|l|l|l|} \hline Figure & $\pi$ & $r$ radius & $r^{2}$ & lislant height $S A=\pi r^{2}+\pi r l$ \\ \hline \end{tabular}

Look at this diagram:
If $\overleftrightarrow{H J}$ and $\overleftrightarrow{K M}$ are parallel lines and $m \angle J I G=123^{\circ}$ , what is $m \angle M L I$ ? $\square$

Practice Quiz: Perimeter and Circumference 0:07:42 elapsed
Question 9 (5 points) Listen Jessa drew a circle with a circumference of 18.84 inches. Which of these dimensions could be the diameter, in inches Jessa used to draw her circle? Use 3.14 for pi. 6 15.7 9.42 3

The hypotenuse of a right triangle is 3 times as long as its shorter leg. The longer leg is 12 centimeters long
To the nearest tenth of a cenfimeter, what is the length of the triangle's shorter leg? ) $\square$ Gentimeters

Find the values of $x$ and $y$ in parallelogram $P Q R S$ $P T=y, T R=2 x+1, Q T=5 y, T S=6 x+13$ $x=$ $\square$ and $y=$ $\square$

Fiona enlarges a parallelogram that has a perimeter of 17 meters.
Not drawn to scale What is the perimeter of the enlarged parallelogram? 30 meters 73.5 meters 102 meters 105 meters

4
How many congruent faces does the square pyramid below have? A. 4 B. 6 C. 5 D. 2 Reset Next

Answer $(-1,1)$ $(-1,9)$ $(6,10)$ $(2,1)$

Given: $\overline{A B} \cong \overline{B C}$ and $\overline{B C}$ bisects $\angle A C D$ . Prove: $\angle A \cong \angle B C D$ .
Note: quadrilateral properties are not permitted in this proof.
Step
1 try Type of Statement

Edit I New W Tableau Classroom 6 Edit IClasst Classwork fo Grades I Inti Clever I Por:- Whathele: login.i-ready.com/student/dashboard/home NIYARAH
Figures $X, Y$ , and $Z$ are similar.
Which statement is true?
$B^{\circ}$ ○ 8 of 14 Finish Later (II) Subrnit Completed Nov 14 $7: 59$

Find the axis of symmetry of the parabola defined by the equation $(y+6)^{2}=40(x+6)$ .

What is the approximate volume of the cylinder? Use 3.14 for $\pi$ . $904.32^{2} \mathrm{~cm}^{3}$ $226.08 \mathrm{~cm}^{3}$ $150.72 \mathrm{~cm}^{3}$ $301.44 \mathrm{~cm}^{3}$

Find the area of this parallelogram. Be sure to include the correct unit in your answer. Espaniol m $\mathrm{m}^{2}$ $\mathrm{m}^{3}$ ? $\square$

Area of a parallelogram
Find the area of this parallelogram. Be sure to include the correct unit in your answer. $\square$ Español -

What is the slope of the line that passes through the points $(5,-6)$ and $(9,-6)$ ? Write your answer in simplest form.

Look at this shape:
Which image shows a translation?
A B C
A B C

What is the slope of the line that passes through the points $(2,-4)$ and $(5,2)$ ? Write your answer in simplest form.

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle
1. Set up the proportion:
2. Use cross product: $\frac{9}{6}=\frac{x}{16}$
3. Simplify: $9(16)=6 x$
4. Divide: $144=$ $\square$ $\square$ $=x$

Graph $\overline{X Y}$ with endpoints $X(5,-2)$ and $Y(3,-3)$ and its image after a reflection in the $x$ -axis and then a rotation of $270^{\circ}$ counterclockwise about the origin.

Consider the reduction of the rectangle. $18 \mathrm{in.}$
8 in. $x$ in. 3 in.
Write a proportion and then solve to find the missing measure of the reduced rectangle.
What two ratios can be used in the proportion?
What is the value of the missing measure?

The radius of a cylindrical construction pipe is 3 ft . If the pipe is 34 ft long, what is its volume? Use the value 3.14 for $\pi$ , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. $\square$

Find the surface area of this cube. Be sure to include the correct unit in your answer. cm cm ${ }^{2}$ $\mathrm{cm}^{3}$

Graph the triangle with vertices $X(-3,2), Y(2,3)$ , and $Z(1,-1)$ and its image after a dilation with scale factor $k=-3$ .

Distance and Midpoint
Find the distance between $(2,-3)$ and $(5,0)$ . $\sqrt{ } 2$ $\sqrt{ } 18$ $\sqrt{ } 13$ $\sqrt{ } 26$

Distance and Mldpoint
Find the distance between $(0,0)$ and $(-5,-4)$ . V21 $\sqrt{ } 38$ V17 V41

The graph of $y=f(x)$ is shown below. Draw the graph of $y=\frac{1}{2} f(x)$ .

A square based pyramid and a rectangular prism have the same height and their bases are congruent squares.
1. If the volume of the rectangular prism is $150 \mathrm{~cm}^{3}$ , what is the volume of the square pyramid?

Distance and Midpoint
Find the midpoint for the segment with endpoints of $(3,2)$ and $(9,6)$ . $(9,6)$ $(6,4)$ $(12,8)$ $(2,9)$ $(8,4)$

Distance and Midpoint
Find the midpoint for the segment with endpoints of $(-2,0)$ and $(4,-6)$ . $(2,-1)$ $(2,-4)$ $(1,-4)$ $(2,-3)$ $(1,-3)$

15. Use the slope-intercept form to graph the equation $y=-6 x+2$

Solve for $x$ : $x=\square$

Given that line $m$ bisects segment AC, find FC. Remember a bisector intersects at the midpoint. 12 9 2.25 15 4.5

Not dram to scale What is the value of $x$ , rounded to the nearest tenth? 2.1 centimeters 3.3 centimeters 7.0 centimeters Mark this and return Save and Exit Next

Find $S R, S T, R T, m \angle T R S$ , and $m \angle R S T$ . Round to the nearest tenth, if necessary.

The small rectangle was enlarged to create the big rectangle.
2 ft
Not drawn to scale
What is the missing measure on the big rectangle? 6 feet 10 feet 24 feet 30 feet

Fiona enlarges a parallelogram that has a perimeter of 17 meters.
Not drawn to scale What is the perimeter of the enlarged parallelogram? 30 meters 73.5 meters 102 meters 105 meters

Find the value of $x$ .